%I #6 Mar 30 2012 18:57:54

%S 1,0,9,3,9,2,2,7,3,9,9,0,5,4,9,9,0,8,9,0,5,7,3,4,5,8,0,3,9,5,2,1,9,6,

%T 2,2,7,6,0,4,6,8,8,2,5,0,1,9,1,3,7,3,8,4,3,9,4,4,4,9,8,2,6,5,8,9,3,0,

%U 7,8,4,6,6,1,5,8,1,2,8,4,6,9,0,0,1,9,6,6,6,2,2,2,5,3,3,6,8,7,9

%N Decimal expansion of -x where x<0 satisfies 2*x^2+3x=sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=-1.0939227399054990890573458039521962276046...

%t a = 2; b = 3; c = 1;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -2, .2}]

%t r = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.0}, WorkingPrecision -> 110]

%t RealDigits[r](* A198608 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 27 2011